82953024 has 224 divisors, whose sum is σ = 284024832. Its totient is φ = 20736000.

The previous prime is 82953023. The next prime is 82953029. The reversal of 82953024 is 42035928.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (224).

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82953023) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 458214 + ... + 458394.

It is an arithmetic number, because the mean of its divisors is an integer number (1267968).

Almost surely, 2^82953024 is an apocalyptic number.

82953024 is a gapful number since it is divisible by the number (84) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 82953024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142012416).

82953024 is an abundant number, since it is smaller than the sum of its proper divisors (201071808).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

82953024 is a wasteful number, since it uses less digits than its factorization.

It is an anagram of its base 12 representation: 82953024 = (23945280)₁₂.

82953024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 245 (or 235 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 33.

The square root of 82953024 is about 9107.8550713107. The cubic root of 82953024 is about 436.1247573854.

The spelling of 82953024 in words is "eighty-two million, nine hundred fifty-three thousand, twenty-four".